HASEGAWA Koji 長谷川浩司

… Alternative Names

長谷川浩司ハセカ゛ワコウジ

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Researcher Number	30208483
Other IDs
Affiliation (Current)	2025: 東北大学, 理学研究科, 准教授
Affiliation (based on the past Project Information) *help	2025: 東北大学, 理学研究科, 准教授 2016: 東北大学, 理学研究科, 准教授 2013 – 2015: 東北大学, 理学(系)研究科(研究院), 准教授 2011 – 2012: 東北大学, 理学(系)研究科(研究院), 講師 2007 – 2009: Tohoku University, 大学院・理学研究科, 講師 … More 2006: Tohoku University, Graduate School of Science, Lecturer, 大学院理学研究科, 講師 2004 – 2005: 東北大学, 大学院・理学研究科, 講師 1996 – 2001: 東北大学, 大学院・理学研究科, 講師 1998: Tohoku University, Graduate School of Science, Lecturer, 理学研究科, 講師 1992 – 1994: 東北大学, 理学部, 助手 1989 – 1990: 東北大学, 理学部, 助手 Less
Review Section/Research Field	Principal Investigator Algebra / Algebra / Global analysis / Basic Section 11010:Algebra-related Except Principal Investigator Algebra / 代数学・幾何学 / Global analysis / Global analysis / Geometry / 解析学
Keywords	Principal Investigator 量子群 / 可積分系 / パンルヴェ方程式 / ヤン・バクスター方程式 / 可解格子模型 / モノドロミー保存系 / 離散化 / モノドロミー保存変形 / ソリトン / ラメ関数 … More / マクドナルド多項式 / 共形場理論 / 量子離散可積分系 / Quantum groups / Monodromy / Painleve equation / Affine Weyl groups / Integrable Systems / アフィンリー環 / ワイル群 / Schur関数 / アフィンワイル群 / Integrable systems / Panlev'e type eq. / Calogero systems / Yang-Baxter eq. / 離散パンルベ系 / カロジェロ系 / affine Lie algebra / quantum group / quantum conformal field theory / Yang-Baxter equation / integrable system / WZW模型 / 差分可積分系 / ルイセナ-ス系 / 楕円R行列 / アフィン・リー環 / 可積系 / アフィンLie環 / 量子共形場理論 / Yang-Baxter方程式 / タイヒミュラー空間 / 数理物理 / パンルヴェ型方程式 / ランダム行列 / 非線形 / パンルベ方程式 / 差分化 / 量子化 / 対称性 / ソリトン系 / Yang-Bexter方程式 / 表現論 … More Except Principal Investigator 量子群 / 代数群 / 可積分系 / 楕円曲線 / 固有値 / Yang-Baxter方程式 / 超幾何型微分方程式 / トーリック多様体 / 指標 / 可解格子模型 / quantum group / conformal field theory / quantization / discretization / Painleve systems / isomonodromic systems / integrable systems / 表現論 / 超離散化 / パンルヴェ方程式 / 共形場理論 / 量子化 / 離散化 / パンルヴェ系 / モノドロミー保存変形 / Mordell-Weil group / elliptic curves / tight closure / F-singularities / Q-curves / toric varieties / density theorems / class number / キーワード8 / キーワード7 / キーワード6 / 概均質ベクトル空間 / 不定方程式 / 既均質ベクトル空間 / 密着閉方 / F-特異点 / Q-曲線 / 密度定理 / 類数 / Affineanalogues / Relative Trace Formake / Involutions / Linear Algelvaic Groups / Symmetric Pairs / L関数の零点 / 簡約代数群 / 対合 / 構成可能層 / 超局所化 / 超幾何関数 / L-関数 / シュバレー群 / 制限ルート系 / 佐武図式 / 標数2の体上の代数群 / 対称多様体 / 標数2の体 / アフィン類似 / 相対跡公式 / ラングランズ対応 / 線型代数群 / 対称対 / Central Limit Theorem / Harper Operator / Crystal Lattice / Discrete Laplacian / スペクトル幾何 / グラフ / 離散幾何学 / 格子振動 / グラフの調和写像 / 標準的実現 / アルバネーゼ写像 / ハーパー作用素 / 中心極限定理 / 結晶格子 / 離散的ラプラシアン / QUANTUM ERGODICITY / EIGENVALUES / SPECTRUM / ERGODICITY / ラプラシアン / 量子エルゴード性 / スペクトラム / エルゴード性 / crystal / difference analogue of the KZ equation / bosonization / vertex operators / quantum froups / solvable lattice models / トロイダル代数 / screening作用素 / XXZ模型 / エネルギー関数 / Kostka多項式 / Knizhnik-Zamolodchikov方程式 / Demazure結晶 / ヘッケ環 / 可解模型 / 楕円的量子群 / GKO構造 / 格子模型 / 結晶基底 / 差分KZ方程式 / 自由場表示 / 頂点作用素 / 離散パンルベVI型方程式 / Koornwinder多頂式 / qKZ方程式 / シグマ函数 / Zn対称模型 / 8頂点模型 / 量子離散ガルニエ系 / 差分パンルヴェVI型方程式 / 運動の積分 / アフィン量子群 / 相関函数 / ボソン化構成法 / nZ)対称模型 / (Z / 楕円量子可積分系 / 箙多様体 / 同変K理論 / トーラス作用 / 代数群の表現 / 確定特異点 / 同変ホロノミー系 / ループ空間 / ケーラー多様体 / 変分法 / 半線型楕円型偏微分方程式 / 函数微分方程式 / 古典力学 / 共形場 / カノニカル基底 / 交叉ホモロジー / ホロノミー系 / 確定特異点型 / 青本・Gelfand方程式系 / 超幾何型微分方程式系 / フ-リエ変換 / 捩れ同変 / ホロノミ-系 / 指標公式 / 局所化定理 / 対称領域 / カスプ特異点 / ト-リック多様体 / 青木・Galfand方程式 / 指標D加群 Less

Representation-theoretic study of quantum discrete Painlevé type equations based on problems originating from field theoryPrincipal Investigator
- Principal Investigator
  
  長谷川浩司
- Project Period (FY)
  2025 – 2029
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Tohoku University
Pursuit of analogies between quantum difference isomonodromic systems, quantum Teichmuller theory, and solvable lattice modelsPrincipal Investigator
- Principal Investigator
  
  Hasegawa Koji
- Project Period (FY)
  2014 – 2016
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Tohoku University
Quantum discrete isomonodromy system from the viewpoint of quantum Teichmueller spacePrincipal Investigator
- Principal Investigator
  
  HASEGAWA Koji
- Project Period (FY)
  2011 – 2013
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Tohoku University
Quantization of difference nonlinear equation of Painleve typePrincipal Investigator
- Principal Investigator
  
  HASEGAWA Koji
- Project Period (FY)
  2007 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Tohoku University
Correlation functions and form factors of elliptic integrable systems
- Principal Investigator
  
  QUANO Yas-hiro
- Project Period (FY)
  2007 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Suzuka University of Medical Science
Discretization and quantization of integrable and isomonodromic systems
- Principal Investigator
  
  KUROKI Gen
- Project Period (FY)
  2005 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Tohoku University
Study of Classical and Quantum Integrable Systems and their discretizationsPrincipal Investigator
- Principal Investigator
  
  HASEGAWA Koji
- Project Period (FY)
  2004 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Tohoku University
Number Theory and Geometry related to Algebraic Groups
- Principal Investigator
  
  YUKIE Akihiko
- Project Period (FY)
  2000 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Tohoku University
STUDY OF DISCRETE TIME EVOLUTIONS IN DISCRETE QUANTUM INTEGRABLE SYSTEMSPrincipal Investigator
- Principal Investigator
  
  HASEGAWA Koji
- Project Period (FY)
  2000 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Tohoku University
Fundamental Research of Discrete Geometric Analysis and Its Applications
- Principal Investigator
  
  SUNADA Toshikazu
- Project Period (FY)
  1998 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (A).
- Research Field
  
  Global analysis
- Research Institution
  Tohoku University
SYMMETRIC PAIRS
- Principal Investigator
  
  UZAWA Tooru
- Project Period (FY)
  1998 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (B).
- Research Field
  
  Algebra
- Research Institution
  RIKKYO UNIVERSITY
Diflenence equation versions of integrable systems and geometric structures in the backgroundPrincipal Investigator
- Principal Investigator
  
  KUROKI Gen, 長谷川浩司
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Tohoku University
格子模型と等価な差分方程式系の研究Principal Investigator
- Principal Investigator
  
  長谷川浩司
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research on Priority Areas
- Research Institution
  Tohoku University
ヤン・バクスター方程式の楕円函数解に付随する代数的構造Principal Investigator
- Principal Investigator
  
  長谷川浩司
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  Algebra
- Research Institution
  Tohoku University
Mathematics of Symmetry
- Principal Investigator
  
  MIWA Tetsuji
- Project Period (FY)
  1996 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Algebra
- Research Institution
  KYOTO UNIVERSITY
STUDY ON QUANTUM ERGODIC THEORY
- Principal Investigator
  
  SUNADA Toshikazu
- Project Period (FY)
  1996 – 1997
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  TOHOKU UNIVERSITY
超幾何型関数と表現論
- Principal Investigator
  
  堀田良之
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Tohoku University
共形場理論及び可解格子模型に現れる特殊函数Principal Investigator
- Principal Investigator
  
  長谷川浩司
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for Scientific Research on Priority Areas
- Research Institution
  Tohoku University
代数的手法による表現論
- Principal Investigator
  
  堀田良之
- Project Period (FY)
  1992
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Tohoku University
古典力学における数学的諸問題
- Principal Investigator
  
  伊藤秀一
- Project Period (FY)
  1992
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tohoku University
代数的表現論の開発
- Principal Investigator
  
  堀田良之
- Project Period (FY)
  1990
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Tohoku University
D加群と表現論
- Principal Investigator
  
  堀田良之
- Project Period (FY)
  1989
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Tohoku University

All 2015 2013 2012 2011 2009 2007 2004 Other

All Journal Article Presentation Book

[Book] 線型代数-linear algebra 改訂版2015
- Author(s)
  長谷川浩司
- Total Pages
  420
- Publisher
  日本評論社
- Data Source
  KAKENHI-PROJECT-26400033
[Book] 線型代数 - Liner Algebra2004
- Author(s)
  長谷川浩司
- Total Pages
  391
- Publisher
  日本評論社
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540182
[Book] Linear Algebra2004
- Author(s)
  Koji Hasegawa
- Total Pages
  391
- Publisher
  Nihon Hyoronsha
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540182
[Book] 線型代数2004
- Author(s)
  長谷川浩司
- Total Pages
  404
- Publisher
  日本評論社
- Data Source
  KAKENHI-PROJECT-16540182
[Journal Article] Quantizing the Discrete Painleve VI Equation: The Lax Formalism2013
- Author(s)
  Koji Hasegawa
- Journal Title
  
  Letters in Mathematical Physics
  
  Volume: online first Issue: 8 Pages: 1-15
- DOI
  10.1007/s11005-013-0620-y
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540004
[Journal Article] Quantizing the Painleve VI equation : The Lax formalism2013
- Author(s)
  Koji Hasegawa
- Journal Title
  
  Lett. Math. Phys
  
  Volume: 103 no.8 Pages: 865-879
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540004
[Journal Article] Quantizing the Bäcklund transforma -tions of Painlevé equations and the quantum discrete Painlevé VI equa -tion2011
- Author(s)
  Koji Hasegawa
- Journal Title
  
  Advanced Studies in Pure Mathematics 61"Exploration of New Structures and Natural Constructions in Mathematical Physics", Japan Math. Soc
  
  Pages: 275-288
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540004
[Journal Article] Quantizing the Backlund transformations of Painlev’e equations and the quantum discrete Painlev’e VI equation2011
- Author(s)
  Koji Hasegawa
- Journal Title
  
  Advanced Studies in　Pure　Mathematics
  
  Volume: 61 Pages: 275-288
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540004
[Journal Article] Quantizing the Backlund transformations of Painleve equations and the quantum discrete Painleve VI equation
- Author(s)
  K Hasegawa
- Journal Title
  
  Advanced Studies in Pure Mathematics (to appear)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540207
[Presentation] 量子離散ガルニエ系のラックス形式2013
- Author(s)
  Koji Hasegawa
- Organizer
  日本数学会秋季総合分科会, 無限可積分系セッション一般講演
- Place of Presentation
  愛媛大学
- Year and Date
  2013-09-24
- Data Source
  KAKENHI-PROJECT-23540004
[Presentation] 量子離散パンルヴェVI 型方程式のラックス形式2012
- Author(s)
  Koji Hasegawa
- Organizer
  日本数学会秋季総合分科会, 無限可積分系セッション一般講演
- Place of Presentation
  九州大学
- Year and Date
  2012-09-18
- Data Source
  KAKENHI-PROJECT-23540004
[Presentation] 量子離散パンルヴェVI型方程式のラックス形式2012
- Author(s)
  長谷川浩司
- Organizer
  日本数学会
- Place of Presentation
  九州大学
- Data Source
  KAKENHI-PROJECT-23540004
[Presentation] Quantizing the discrete Painlev’e VI equation2012
- Author(s)
  Koji Hasegawa
- Organizer
  Workshop "Integrable Systems, Random Matrices, Algebraic Geometry and Geometric Invariants(招待講演)
- Place of Presentation
  Steklov Institute, Moscow, Russia
- Data Source
  KAKENHI-PROJECT-23540004
[Presentation] Quantizing the discrete Painlev’e VI equation2011
- Author(s)
  Koji Hasegawa
- Organizer
  Infinite Analysis 11 Winter School: "Quantum cluster algebras and related topics"(招待講演)
- Place of Presentation
  大阪大学大学院理学研究科
- Data Source
  KAKENHI-PROJECT-23540004
[Presentation] Quantizing the discrete Painleve VI equation2009
- Author(s)
  K Hasegawa
- Organizer
  Fusion of Integrable Systems and Geometry
- Place of Presentation
  Tohoku university
- Year and Date
  2009-04-17
- Data Source
  KAKENHI-PROJECT-19540207
[Presentation] Quantization of discrete Painleve equatioes2007
- Author(s)
  長谷川浩司
- Organizer
  Japan-Korea workshop on algebra and combinato-rics
- Place of Presentation
  九州大学数理学研究院
- Year and Date
  2007-09-15
- Data Source
  KAKENHI-PROJECT-19540207
[Presentation] Quantization of discrete Painlev'e equations2007
- Author(s)
  Koji Hasegawa
- Organizer
  The 3rd Japan-Korea Workshop on Algebra and Combinatorics
- Place of Presentation
  Kyushu University Hakozaki Campus
- Year and Date
  2007-09-15
- Data Source
  KAKENHI-PROJECT-19540207
[Presentation] 量子離散ガルニエ系のラックス形式
- Author(s)
  長谷川浩司
- Organizer
  日本数学会無限可積分系セッション
- Place of Presentation
  愛媛大学
- Data Source
  KAKENHI-PROJECT-23540004

1. KUROKI Gen (10234593)

# of Collaborated Projects: 14 results

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2. ISHIDA Masanori (30124548)

# of Collaborated Projects: 5 results

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3. 堀田良之 (70028190)

# of Collaborated Projects: 4 results

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4. 小田忠雄 (60022555)

# of Collaborated Projects: 4 results

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5. KIKUCHI Tetsuya (00374900)

# of Collaborated Projects: 3 results

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6. SHIRAISHI Un'ichi (20272536)

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7. NAKAYASHIKI Atsushi (10237456)

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8. Yamada Yasuhiko (00202383)

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9. 齋藤睦 (70215565)

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10. 中島啓 (00201666)

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11. UZAWA Tooru (40232813)

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12. NAGOYA Hajime (80447367)

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13. SUNADA Toshikazu (20022741)

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14. SAITO Kazuyuki (60004397)

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15. 佐武一郎 (00133934)

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16. 清水勇二 (80187468)

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17. 伊藤秀一 (90159905)

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18. 堀畑和弘 (10229239)

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19. 板東重稔 (40165064)

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20. 高木泉 (40154744)

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21. 加藤順二 (80004290)

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22. QUANO Yas-hiro (80309038)

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23. MIWA Tetsuji (10027386)

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24. KONNO Hitoshi (00291477)

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25. OKADO Masato (70221843)

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26. KUNIBA Atsuo (70211886)

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27. 梁成吉 (70201118)

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28. NAYATANI Shin (70222180)

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29. KOTANI Motoko (50230024)

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30. URAKAWA Hajime (50022679)

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32. 中野史彦 (10291246)

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33. 新井仁之 (10175953)

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34. YAMADA Yuuji (40287917)

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35. AOKI Noboru (30183130)

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36. FUJII Akio (50097226)

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37. YUKIE Akihiko (20312548)

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38. OGATA Shoetsu (90177113)

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39. NAKAMURA Tetsuo (90016147)

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40. SATO atsushi (30241516)

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41. HARA Nobuo (90298167)

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42. 森田康夫 (20011653)

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43. IKEDA Takeshi (40309539)

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HASEGAWA Koji 長谷川 浩司

長谷川 浩司 ハセカ゛ワ コウジ

Research Projects

Research Products

Co-Researchers

Representation-theoretic study of quantum discrete Painlev&#233; type equations based on problems originating from field theoryPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Pursuit of analogies between quantum difference isomonodromic systems, quantum Teichmuller theory, and solvable lattice modelsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Quantum discrete isomonodromy system from the viewpoint of quantum Teichmueller spacePrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Quantization of difference nonlinear equation of Painleve typePrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Study of Classical and Quantum Integrable Systems and their discretizationsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

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STUDY OF DISCRETE TIME EVOLUTIONS IN DISCRETE QUANTUM INTEGRABLE SYSTEMSPrincipal Investigator

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Diflenence equation versions of integrable systems and geometric structures in the backgroundPrincipal Investigator

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格子模型と等価な差分方程式系の研究Principal Investigator

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ヤン・バクスター方程式の楕円函数解に付随する代数的構造Principal Investigator

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HASEGAWA Koji 長谷川浩司

長谷川浩司ハセカ゛ワコウジ

Representation-theoretic study of quantum discrete Painlevé type equations based on problems originating from field theoryPrincipal Investigator